On implicit Runge-Kutta methods with high stage order

BIT Numerical Mathematics

Volumn 37, Issue 1, 1997, Pages 221-226

  Bendtsen, C ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

High stage order; Runge Kutta methods; Stiff accuracy

Indexed keywords

EID: 0001308504     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510182     Document Type: Article

References (4)

1. K. Dekker and J. G. Verwer, Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations, CWI Monographs 2, North-Holland, 1984.
2. E. Hairer, C. Lubich, and M. Roche, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics 1409, Springer-Verlag, 1989.
3. E. Hairer and G. Wanner, Algebraically stable and implementable Runge-Kutta methods of high order, SIAM J. Numer. Anal., 18 (1981), pp. 1098-1108.
4. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer-Verlag, 1991.